Breuken delen (reeks 1)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

1. \(\frac{6}{7} : \frac{11}{14}\)
2. \(\frac{11}{5} : \frac{3}{8}\)
3. \(\frac{8}{2} : \frac{7}{2}\)
4. \(\frac{7}{10} : \frac{4}{3}\)
5. \(\frac{5}{14} : \frac{6}{14}\)
6. \(\frac{6}{14} : \frac{5}{11}\)
7. \(\frac{2}{11} : \frac{4}{6}\)
8. \(\frac{6}{9} : \frac{11}{13}\)
9. \(\frac{6}{11} : \frac{3}{11}\)
10. \(\frac{10}{14} : \frac{9}{12}\)
11. \(\frac{8}{12} : \frac{8}{10}\)
12. \(\frac{2}{12} : \frac{8}{7}\)

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Deel de breuken

Verbetersleutel

1. \(\frac{6}{7} : \frac{11}{14}\\=\frac{6}{7} . \frac{14}{11}\\=\frac{6.14}{7.11}\\=\frac{84}{77}\\=\frac{12}{11}\)
2. \(\frac{11}{5} : \frac{3}{8}\\=\frac{11}{5} . \frac{8}{3}\\=\frac{11.8}{5.3}\\=\frac{88}{15}\)
3. \(\frac{8}{2} : \frac{7}{2}\\=\frac{4}{1} : \frac{7}{2}\\=\frac{4}{1} . \frac{2}{7}\\=\frac{4.2}{1.7}\\=\frac{8}{7}\)
4. \(\frac{7}{10} : \frac{4}{3}\\=\frac{7}{10} . \frac{3}{4}\\=\frac{7.3}{10.4}\\=\frac{21}{40}\)
5. \(\frac{5}{14} : \frac{6}{14}\\=\frac{5}{14} : \frac{3}{7}\\=\frac{5}{14} . \frac{7}{3}\\=\frac{5.7}{14.3}\\=\frac{35}{42}\\=\frac{5}{6}\)
6. \(\frac{6}{14} : \frac{5}{11}\\=\frac{3}{7} : \frac{5}{11}\\=\frac{3}{7} . \frac{11}{5}\\=\frac{3.11}{7.5}\\=\frac{33}{35}\)
7. \(\frac{2}{11} : \frac{4}{6}\\=\frac{2}{11} : \frac{2}{3}\\=\frac{2}{11} . \frac{3}{2}\\=\frac{2.3}{11.2}\\=\frac{6}{22}\\=\frac{3}{11}\)
8. \(\frac{6}{9} : \frac{11}{13}\\=\frac{2}{3} : \frac{11}{13}\\=\frac{2}{3} . \frac{13}{11}\\=\frac{2.13}{3.11}\\=\frac{26}{33}\)
9. \(\frac{6}{11} : \frac{3}{11}\\=\frac{6}{11} . \frac{11}{3}\\=\frac{6.11}{11.3}\\=\frac{66}{33}\\=\frac{2}{1}= 2\)
10. \(\frac{10}{14} : \frac{9}{12}\\=\frac{5}{7} : \frac{3}{4}\\=\frac{5}{7} . \frac{4}{3}\\=\frac{5.4}{7.3}\\=\frac{20}{21}\)
11. \(\frac{8}{12} : \frac{8}{10}\\=\frac{2}{3} : \frac{4}{5}\\=\frac{2}{3} . \frac{5}{4}\\=\frac{2.5}{3.4}\\=\frac{10}{12}\\=\frac{5}{6}\)
12. \(\frac{2}{12} : \frac{8}{7}\\=\frac{1}{6} : \frac{8}{7}\\=\frac{1}{6} . \frac{7}{8}\\=\frac{1.7}{6.8}\\=\frac{7}{48}\)